Questions from Mechanics

Q: A solid copper bar of circular cross section has length L =

A solid copper bar of circular cross section has length L = 1.25 m and shear modulus of elasticity G = 45 GPa. The bar is designed to carry a 250 Nm? torque acting at the ends. If the allowable shear...

Q: A circular copper bar with diameter d = 3 in. is

A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find the maximum shear, tensile, and compressive stresses in the tube and their corresponding strains....

Q: A generator shaft in a small hydroelectric plant turns at 120 rpm

A generator shaft in a small hydroelectric plant turns at 120 rpm and delivers 50 hp (see figure). (a) If the diameter of the shaft is d = 3.0 in., what is the maximum shear Ï„max in the sha...

Q: A solid circular bar ABCD with fixed supports is acted upon by

A solid circular bar ABCD with fixed supports is acted upon by torques To and 2To at the locations shown in the figure. (a) Obtain a formula for the maximum angle of twist φmax of the bar....

Q: A solid circular bar of steel (G = 11.4

A solid circular bar of steel (G = 11.4 × 106 psi) with length L = 30 in. and diameter d = 1.75 in. is subjected to pure torsion by torques T acting at the ends (see figure). (a) Calculat...

Q: A hollow circular tube having an inside diameter of 10.0

A hollow circular tube having an inside diameter of 10.0 in. and a wall thickness of 1.0 in. (see figure) is subjected to a torque T = 1200 kip-in. Determine the maximum shear stress in the tube using...

Q: A stepped shaft consisting of solid circular segments having diameters D1 =

A stepped shaft consisting of solid circular segments having diameters D1 = 2.0 in. and D2 = 2.4 in. (see figure) is subjected to torques T. The radius of the fillet is R = 0.1 in. If the allowable sh...

Q: The cantilever beam AB shown in the figure is subjected to a

The cantilever beam AB shown in the figure is subjected to a concentrated load P at the midpoint and a counterclockwise couple of moment M1 = PL/4 at the free end. Draw the shear-force and bending-mom...

Q: Cantilever beam AB carries an upward uniform load of intensity q1 from

Cantilever beam AB carries an upward uniform load of intensity q1 from x = 0 to L/2 (see Fig. a) and a downward uniform load of intensity q from x = L/2 to L. (a) Find q1 in terms of q if...

Q: The simple beam AB shown in the figure is subjected to a

The simple beam AB shown in the figure is subjected to a concentrated load P and a clockwise couple M1 = PL/3 acting at the third points. Draw the shear-force and bending-moment diagrams for this beam...